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413243454 = 231331237149
BaseRepresentation
bin11000101000011…
…001100000111110
31001210120221110010
4120220121200332
51321242242304
6105001124050
713145340261
oct3050314076
91053527403
10413243454
111a22a0a18
12b6489626
13677ca570
143cc50cd8
152642c789
hex18a1983e

413243454 has 96 divisors (see below), whose sum is σ = 950896800. Its totient is φ = 118920960.

The previous prime is 413243447. The next prime is 413243473. The reversal of 413243454 is 454342314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2773372 + ... + 2773520.

It is an arithmetic number, because the mean of its divisors is an integer number (9905175).

Almost surely, 2413243454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413243454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475448400).

413243454 is an abundant number, since it is smaller than the sum of its proper divisors (537653346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413243454 is a wasteful number, since it uses less digits than its factorization.

413243454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 235 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 413243454 is about 20328.3903445403. The cubic root of 413243454 is about 744.8497236043.

Adding to 413243454 its reverse (454342314), we get a palindrome (867585768).

It can be divided in two parts, 4132 and 43454, that added together give a triangular number (47586 = T308).

The spelling of 413243454 in words is "four hundred thirteen million, two hundred forty-three thousand, four hundred fifty-four".

Divisors: 1 2 3 6 13 26 31 37 39 62 74 78 93 111 149 186 222 298 403 447 481 806 894 961 962 1147 1209 1443 1922 1937 2294 2418 2883 2886 3441 3874 4619 5513 5766 5811 6882 9238 11026 11622 12493 13857 14911 16539 24986 27714 29822 33078 35557 37479 44733 60047 71114 71669 74958 89466 106671 120094 143189 143338 170903 180141 213342 215007 286378 341806 360282 429567 430014 462241 512709 859134 924482 1025418 1386723 1861457 2221739 2773446 3722914 4443478 5297993 5584371 6665217 10595986 11168742 13330434 15893979 31787958 68873909 137747818 206621727 413243454